CSET Multiple Subjects: Subtest 2 – Math Questions and Answers Already Passed

CSET Multiple Subjects: Subtest 2 – Math Questions and Answers Already Passed Measures of central tendency Mean/arithmetic mean, median, mode, range Mean The sum of the data values divided by the number of data values; average Example: 2, 2, 3, 5, 2, 6, 2, 6, 7, 9, 11 (2 + 2 + 3 + 5 + 2 + 6 + 2 + 6 + 7 + 9 + 11)/11 55/11 Mean = 5 Median -The value in the middle so that there are an equal number of data values to either side of it -To find the median, arrange the data values from smallest to largest, including any repeats, then find the middle value -If there is an odd number of data values, one of the data values will be in the middle -If there is an even number of data values, take the mean of the two middle values Example: 2, 2, 3, 5, 2, 6, 2, 6, 7, 9, 11 2, 2, 2, 2, 3, 5, 6, 6, 7, 9, 11 Median = 5 Mode -The value repeated most often -In order to have a mode, some score had to be repeated Example: 2, 2, 3, 5, 2, 6, 2, 6, 7, 9, 11 Mode = 2 Range The difference between the maximum and minimum scores Example: 2, 2, 3, 5, 2, 6, 2, 6, 7, 9, 11 11 - 2 Range = 9 Probability -The comparison of the total number of favorable outcomes to the number of possible outcomes -Usually expressed in fraction form: total favorable outcomes / total possible outcomes -Can also be expressed as percents or decimal values Plane geometry The study of shapes and figures in two dimensions (the plane) Solid geometry The study of shapes and figures in three dimensions Point -The most fundamental idea in geometry -Represented by a dot and named by a capital letter Line -The shortest path connecting two points -Continues forever in opposite directions -Consists of an infinite number of points -Named by any two points on the line -The symbol <—> written on top of two letters is used to denote that line Line segment -A piece of a line -Has two endpoints and is named by these two endpoints -The symbol — written on top of two letters is used to denote that line segment Ray -Has only one endpoint and continues forever in one direction -Could be thought of as a half-line -Named by the letter of its endpoint and any other point on the ray -The symbol —> written on top of the two letters is used to denote that ray Angle -Formed by two rays that start from the same point -This point is called the vertex; the rays are called the sides o the angle -Measured in degrees -The degrees indicate the size of the angle, from one side to the other Various ways an angle can be named -By the letter of the vertex; therefore, the angle above could be named ∠A -By the number (or small letter) in its interior; therefor